Black hole mass and angular momentum in topologically massive gravity

TL;DR

This paper extends a method to compute conserved charges in topologically massive gravity and applies it to black holes, confirming their thermodynamic properties and providing new insights into their mass and angular momentum.

Contribution

It introduces an extended approach for calculating Killing charges in TMG and applies it to black holes with non-constant curvature asymptotics.

Findings

Successfully computes mass and angular momentum of TMG black holes

Confirms the first law of black hole thermodynamics in this context

Provides consistent values for black hole entropy

Abstract

We extend the Abbott-Deser-Tekin approach to the computation of the Killing charge for a solution of topologically massive gravity (TMG) linearized around an arbitrary background. This is then applied to evaluate the mass and angular momentum of black hole solutions of TMG with non-constant curvature asymptotics. The resulting values, together with the appropriate black hole entropy, fit nicely into the first law of black hole thermodynamics.